Failure Rate Modelling for Reliability and Risk by Finkelstein,M.S.2008

Springer Series in Reliability Engineering

Maxim Finkelstein
部分目录
Contents1
Contents
1 Introduction....................................................................................................... 1
1.1 Aim and Scope of the Book....................................................................... 1
1.2 Brief Overview.. ........................................................................................5
2 Failure Rate and Mean Remaining Lifetime.................................................. 9
2.1 Failure Rate Basics .................................................................................. 10
2.2 Mean Remaining Lifetime Basics............................................................ 13
2.3 Lifetime Distributions and Their Failure Rates ....................................... 19
2.3.1 Exponential Distribution............................................................... 19
2.3.2 Gamma Distribution .....................................................................20
2.3.3 Exponential Distribution with a Resilience Parameter ................. 22
2.3.4 Weibull Distribution..................................................................... 23
2.3.5 Pareto Distribution........................................................................ 24
2.3.6 Lognormal Distribution ................................................................ 25
2.3.7 Truncated Normal Distribution..................................................... 26
2.3.8 Inverse Gaussian Distribution ...................................................... 27
2.3.9 Gompertz and Makeham–Gompertz Distributions....................... 27
2.4 Shape of the Failure Rate and the MRL Function.................................... 28
2.4.1 Some Definitions and Notation .................................................... 28
2.4.2 Glaser’s Approach ........................................................................ 30
2.4.3 Limiting Behaviour of the Failure Rate and the MRL Function... 36
2.5 Reversed Failure Rate.............................................................................. 39
2.5.1 Definitions ....................................................................................39
2.5.2 Waiting Time................................................................................42
2.6 Chapter Summary ....................................................................................43
3 More on Exponential Representation ........................................................... 45
3.1 Exponential Representation in Random Environment ............................. 45
3.1.1 Conditional Exponential Representation ...................................... 45